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2002120012112 = 241197877133723
BaseRepresentation
bin11101001000100111101…
…001101111000101010000
321002101211012000121212012
4131020213221233011100
5230300320210341422
64131432232122052
7264435254211263
oct35104751570520
97071735017765
102002120012112
11702104608310
12284035b36328
13116a5083accc
146cc90268cda
153712e1994e2
hex1d227a6f150

2002120012112 has 80 divisors (see below), whose sum is σ = 4280287002432. Its totient is φ = 899638824960.

The previous prime is 2002120012099. The next prime is 2002120012127. The reversal of 2002120012112 is 2112100212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14905283 + ... + 15039005.

Almost surely, 22002120012112 is an apocalyptic number.

2002120012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002120012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140143501216).

2002120012112 is an abundant number, since it is smaller than the sum of its proper divisors (2278166990320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002120012112 is a wasteful number, since it uses less digits than its factorization.

2002120012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134716 (or 134710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002120012112 its reverse (2112100212002), we get a palindrome (4114220224114).

The spelling of 2002120012112 in words is "two trillion, two billion, one hundred twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 877 1067 1552 1754 2134 3508 4268 7016 8536 9647 14032 17072 19294 38588 77176 85069 133723 154352 170138 267446 340276 534892 680552 935759 1069784 1361104 1470953 1871518 2139568 2941906 3743036 5883812 7486072 11767624 12971131 14972144 23535248 25942262 51884524 103769048 117275071 142682441 207538096 234550142 285364882 469100284 570729764 938200568 1141459528 1290025781 1876401136 2282919056 2580051562 5160103124 10320206248 11375681887 20640412496 22751363774 45502727548 91005455096 125132500757 182010910192 250265001514 500530003028 1001060006056 2002120012112